Internal problem ID [6642]
Book: Second order enumerated odes
Section: section 1
Problem number: 9.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(x),x$2)=x,y(x), singsol=all)
\[ y \relax (x ) = \frac {1}{6} x^{3}+c_{1} x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 19
DSolve[y''[x]==x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^3}{6}+c_2 x+c_1 \\ \end{align*}